Answer
The common difference(-0.4) is equal to the slope of the slope-intercept form.
Work Step by Step
You have the sequence 0.7,0.3,-0.1,-0.5. The A(1) is 0.7. Find the common difference:
0.3-0.7=-0.4
-0.1-0.3=-0.4
-0.5-(-0.1)=-0.4
Plug into recursive formula ($A^{n}$=$A^{n-1}$+d).The recursive formula is $A^{n}$=$A^{n-1}$-0.4
Plug into the explicit formula $a^{n}$=A(1)+(n-1)d:
y=0.7+(x-1)(-0.4)
y=0.7-0.4x+0.4
y=-0.4x+1.1
The recursive formula relates to the slope-intercept form because the common difference(-0.4) is equal to the slope of the slope-intercept form.
